Rashid, SaimaHammouch, ZakiaJarad, FahdAbdeljawad, Thabet02.02. Matematik02. Fen-Edebiyat Fakültesi01. Çankaya Üniversitesi2022-06-202025-09-182022-06-202025-09-182020Jarad, Fahd...et al. (2020). "More properties of the proportional fractional integrals and derivatives of a function with respect to another function", Advances in Difference Equations, Vol. 2020, No. 1.1687-1847https://doi.org/10.1186/s13662-020-02767-xhttps://hdl.handle.net/20.500.12416/13343Abdeljawad, Thabet/0000-0002-8889-3768; Hammouch, Zakia/0000-0001-7349-6922In this article, we present some new properties of the fractional proportional derivatives of a function with respect to a certain function. We use a modified Laplace transform to find the relation between the derivatives in the Riemann-Liouville setting and the one in Caputo. In addition, we provide an integration by parts formulas related to the considered operators.eninfo:eu-repo/semantics/openAccessGeneral Proportional IntegralsGeneral Proportional DerivativesGeneral Caputo Proportional DerivativeArticle10.1186/s13662-020-02767-x2-s2.0-85086571042